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In: Mechanical Engineering

Three rotating masses A = 7 kg, B = 12 kg, and C = 11 kg,...

Three rotating masses A = 7 kg, B = 12 kg, and C = 11 kg, are attached to a shaft with their centres of gravity at 25 mm, 55 mm and 35 mm respectively from the shaft axis. The angular positions of B and C from A are respectively 90o and 150o measured in the same direction. The distance between the planes of rotation of A and B is 1.75 m and between B and C is 2

m in the same direction.

Determine the magnitudes and angular positions with respect to A of two balance masses, each with its centre of gravity at 35

mm from the shaft axis, to be attached in planes midway between A and B and between B and C.

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